Geodesic
On the local and boundary behaviour of inverse maps on Riemannian manifolds
Sbornik. Mathematics, Tome 213 (2022) no. 1, pp. 42-62

Voir la notice de l'article provenant de la source Math-Net.Ru

Results on the local behaviour of maps between Riemannian manifolds such that their inverses satisfy upper bounds on the distortion of the moduli of families of curves are obtained. For families of such maps theorems on their equicontinuity at interior points and boundary points of the domain are established. Bibliography: 30 titles.
Keywords: Riemannian manifold, modulus of a family of curves, map with bounded distortion, map with finite distortion, local behaviour of maps.
Mots-clés : inverse map 
@article{SM_2022_213_1_a1,
     author = {D. P. Ilyutko and E. A. Sevost'yanov},
     title = {On the local and boundary behaviour of inverse maps on {Riemannian} manifolds},
     journal = {Sbornik. Mathematics},
     pages = {42--62},
     publisher = {mathdoc},
     volume = {213},
     number = {1},
     year = {2022},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_2022_213_1_a1/}
}
TY  - JOUR
AU  - D. P. Ilyutko
AU  - E. A. Sevost'yanov
TI  - On the local and boundary behaviour of inverse maps on Riemannian manifolds
JO  - Sbornik. Mathematics
PY  - 2022
SP  - 42
EP  - 62
VL  - 213
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SM_2022_213_1_a1/
LA  - en
ID  - SM_2022_213_1_a1
ER  - 
%0 Journal Article
%A D. P. Ilyutko
%A E. A. Sevost'yanov
%T On the local and boundary behaviour of inverse maps on Riemannian manifolds
%J Sbornik. Mathematics
%D 2022
%P 42-62
%V 213
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SM_2022_213_1_a1/
%G en
%F SM_2022_213_1_a1
D. P. Ilyutko; E. A. Sevost'yanov. On the local and boundary behaviour of inverse maps on Riemannian manifolds. Sbornik. Mathematics, Tome 213 (2022) no. 1, pp. 42-62. http://geodesic.mathdoc.fr/item/SM_2022_213_1_a1/